AI 中文总结
该研究扩展Web-晕模型至Hu-Sawicki $f(R)$引力，通过轴对称椭球窗口改进模型，预测的非线性物质功率谱与e-MANTIS模拟器结果相符，为追踪屏蔽修正引力效应提供了可解释框架。
AI 中文摘要
我们开发了Web-晕模型（Web-Halo Model，WHM）的半解析扩展版本，用于Hu-Sawicki $f(R)$引力，旨在将非线性物质成团与宇宙网坍缩的连续阶段关联起来。原始WHM的圆柱状薄片和纤维窗口被轴对称椭球顶帽窗口取代，在不引入额外拟合参数的情况下，在微扰到非线性的转变区域实现了适度改进。修正引力通过依赖环境的变色龙球坍缩被纳入，从中得到坍缩阈值和 virial overdensity（ virial overdensity 即 virial overdensity，可保留原术语），并通过薄片、纤维和晕的贡献进行传播。对于 $|f_{R0}|=10^{-5}$ 和 $10^{-6}$，预测的非线性增强与 e-MANTIS 模拟器中观测到的尺度、红移和场强依赖性大致一致，对于较弱的场和较高红移，一致性更接近。组分响应表明，薄片和纤维在转变区域附近贡献显著，而晕响应在更小尺度上变得愈发重要。作为补充诊断，未观测到重子声学振荡（BAO）峰的位移，而层析弱引力透镜谱对修正后的物质功率谱保持了百分级的响应。因此，扩展后的WHM为追踪宇宙网坍缩层级中屏蔽修正引力效应提供了具有物理可解释性的框架。
英文摘要
We develop a semi-analytic extension of the Web-Halo Model (WHM) to Hu-Sawicki $f(R)$ gravity, with the aim of linking nonlinear matter clustering to the successive stages of cosmic-web collapse. The cylindrical sheet and filament windows of the original WHM are replaced by axisymmetric ellipsoidal top-hat windows, yielding a modest improvement around the perturbative-to-nonlinear transition without introducing additional fitting parameters. Modified gravity is incorporated through environment-dependent chameleon spherical collapse, from which the collapse threshold and virial overdensity are obtained and propagated through the sheet, filament, and halo contributions. For $|f_{R0}|=10^{-5}$ and $10^{-6}$, the predicted nonlinear enhancement is broadly consistent with the scale-, redshift-, and field-strength dependence seen in the e-MANTIS emulator, with closer agreement for the weaker field and at higher redshift. The component responses show that sheets and filaments contribute substantially around the transition regime, while the halo response becomes increasingly important at smaller scales. As complementary diagnostics, no displacement of the BAO peak is resolved, whereas tomographic weak-lensing spectra retain a percent-level response to the modified matter power spectrum. The extended WHM therefore provides a physically interpretable framework for tracing screened modified-gravity effects across the cosmic-web collapse hierarchy.
Comments20 pages, 8 figures, 2 tables
